CODES

作品数:387被引量:367H指数:9
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相关机构:中国标准化研究院上海交通大学华中科技大学青岛港集团有限公司更多>>
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A simple proof of the formal duality of the Kerdock and Preparata codes
《Chinese Science Bulletin》2000年第14期1279-1282,共4页WAN ZhexianInstitute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China 
The nonlinearity of the Z2-Kerdock code Km+1, where m is an odd integer ≥3, is not at all obvious. By regarding Km+1 as the binary image of the Z4-Kerdock code .,K(m) under the Gray map[1], a simple proof can be achi...
关键词:4-code. Kerdock CODE Preparata CODE FORMAL duality. 
The undetected error probabilities of combinatorial codes and their dual codes
《Chinese Science Bulletin》1997年第23期2017-2018,共2页Xia, ST Fu, FW 
IT is known that the average undetected error probability (UEP) of a binary [n, k] code Con a binary symmetric channel with crossover probability p is given byPe(p) = sum from i=1 Aipi
关键词:UEP The undetected error probabilities of combinatorial codes and their dual codes CODE 
Algebraic constructions of asymptotically optimal two-dimensional optical orthogonal codes
《Chinese Science Bulletin》1997年第19期1659-1662,共4页Xu, CQ Yang, YX 
1 Preliminaries The mathematical definition of the two-dimensional optical orthogonal code(2-D OOC)is as follows: Definition 1. A(mn, ω,λ_a,λ_c) 2-DOOC consists of a set of(O, 1) m×n matri-
关键词:OPTICAL ORTHOGONAL CODES CDMA OPTICAL COMMUNICATIONS coding. 
Period distribution of generalized B-J codes and constructions of cyclically permutable (CP ) codes
《Chinese Science Bulletin》1997年第14期1222-1227,共6页Xia, ST Fu, FW Yang, YX 
NGUYEN et al. give a method for constructing binary CP constant-weight (CPC) codes,then they construct protocol sequences with good performance by using the codes. To makethe minimum distance of the CP codes large eno...
关键词:cyclically PERMUTABLE CODES GENERALIZED CP CODES period distribution GENERALIZED PD GENERALIZED B-J codes. 
The Main Conjecture on Geometric MDS Codes From Hyperelliptic Curves
《Chinese Science Bulletin》1994年第12期974-979,共6页唐立中 
In Ref.[2] the author dealt with the Main conjecture on geometric codes andproved the correctness of the conjecture for codes arising from curves with genus 1 or2 when the cardinal of the ground field is large enough....
关键词:algebraic-geometric CODES hyperelliptic curves MDS CODES JACOBIAN ZETA function. 
A NOTE ON THE MINIMUM DISTANCE OF HERMITIAN CODES
《Chinese Science Bulletin》1992年第2期95-99,共5页邢朝平 
Ⅰ. INTRODUCTION AND MAIN RESULTS Hermitian codes, which are the particular case of cyclotomic Goppa codes are investigated in [2] and [3], but the results on the minimum distance are incomplete. A Hermitian curve ove...
关键词:CODES minimum distance. 
REMARKS ON SELF-DUAL ELLIPTIC CODES
《Chinese Science Bulletin》1991年第8期629-631,共3页邢朝平 
Self-dual linear codes are a sort of important code. For self-dual geometric Goppa codes, Driencourt and Stichtenoth showed a criterion, which is too complex to use well. In this note, we give a simple criterion for e...
关键词:SELF-DUAL CODES ELLIPTIC curve. 
QUADRATIC FUNCTION FIELDS AND CODES
《Chinese Science Bulletin》1991年第8期624-628,共5页邢朝平 
For the hyperelliptic curve y^2=f(x) over F_q with deg(f)≥5, there is a singular point (0, 1, 0), such that a curve is not smooth. But the codes which are constructed by using hyperelliptic curves can be discussed ba...
关键词:CODE minimum DISTANCE FUNCTION field. 
MEASURES OF CODES AND FINITE MAXIMAL CODES
《Chinese Science Bulletin》1987年第16期1081-1084,共4页章亮 
<正> Let X be an alphabet. The measure on the language family monoid 2~x which consist,of all languages over X is introduced by [1] as follows. Let π be a probability distribution on X, and be homomorphically extende...
关键词:MONOID usual MULTIPLICATION proof infinite MAXIMAL Probability notions INTEGER ASSUMPTION 
RECTANGLE CODES AND SQUARE CODES
《Chinese Science Bulletin》1987年第6期366-370,共5页章亮 
Project supported by the Science Fund of Academia Sinica
Let the alphabet X = {a, b}. We discuss the language B = {a^iba^j|i, j≥ 0} over X. Clearly, the word of B can be represented by the point (i, j) in the plane, or by
关键词:shortest INTEGERS proof TRIANGLE analogous MAXIMAL 华丝 PROPOSITION 云一 CODES 
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